Convergence theorems of monotone $(\alpha, \beta)$-nonexpansive mappings for normal-S iteration in ordered Banach spaces with convergence analysis
In this work, we prove some theorems of existence of fixed points for a monotone (Î±, Î²)-nonexpansive mapping in a uniformly convex ordered Banach space. Also, we prove some weak and strong convergence theorems of normal-S iteration under some control condition. Finally, we give two numerical examples to illustrate the main result in this paper.
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